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Finding the Fourth Proportional to 34,966, 52,436.64 and 11,272.58

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Solution

The fourth proportional to 34,966, 52,436.64 and 11,272.58 is: 16,904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,966 : 52,436.64 = 11,272.58 : x
  2. Step 2: Convert to fraction form
    34,966/52,436.64 = 11,272.58/x
  3. Step 3: Cross multiply
    34,966x = 52,436.64 × 11,272.58
  4. Step 4: Simplify right side
    34,966x = 591,096,219.33
  5. Step 5: Solve for x
    x = 591,096,219.33/34,966
  6. Step 6: Final answer
    x = 16,904.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.